{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "be984bfa-0f67-4f4b-a357-7c23386a364e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "f14e3d0a-e7e3-49d4-9cdb-5f099a515427",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.linear_model import Ridge\n",
    "from sklearn.linear_model import Lasso"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "301d01b8-d173-41e6-bd3c-29ca90feef84",
   "metadata": {},
   "source": [
    "# 普通线性回归、岭回归和Lasso回顾的比较"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b66beb8-feff-45cd-be87-b0bb17295f6a",
   "metadata": {},
   "source": [
    "使用numpy创建数据X，创建系数，对系数进行处理，对部分系数进行归零化操作，然后更具系数进行矩阵操作求得目标值"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab761850-f7ad-46ea-90ac-feb2f1e6b4d8",
   "metadata": {},
   "source": [
    "$$\n",
    "Y = WX\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34c617b7-b32a-4aef-862a-44d09ff4ef13",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## 一、准备数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e2fb781b-fd5c-4a24-8b0a-5c6cdbfce4c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建特征矩阵 X\n",
    "X = np.random.randn(50, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7b971fd5-bbd8-4068-90aa-2cb94365687c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建参数矩阵 W\n",
    "coefs = np.random.randn(200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c4e8ef3a-1eeb-4f95-99a6-8948aa9b8fe3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 求出目标值\n",
    "y = np.dot(X, coefs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0b684f9e-db85-48cf-af36-320d8060605b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 查看200个参数长什么样\n",
    "plt.plot(coefs)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "83af2c51-22cb-487f-b4af-1ec566d7324c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">LinearRegression</label><div class=\"sk-toggleable__content\"><pre>LinearRegression()</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "linear = LinearRegression()\n",
    "linear.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ac21bb8-18c3-43ed-981d-c35c7d6a0911",
   "metadata": {},
   "source": [
    "## 二、对比三个模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b35d9be-df2b-4227-81ef-63a660b8ace3",
   "metadata": {},
   "source": [
    "画个图对比一下，原始参数和用线性回归拟合出来的参数差距有多大，看看模型拟合的怎么样"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "b5200e25-098e-40cf-9b67-3c17639150c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(2*6, 4))\n",
    "\n",
    "axes1 = plt.subplot(1, 2, 1)\n",
    "axes1.plot(coefs)\n",
    "axes1.set_title('origin coefs')\n",
    "\n",
    "axes2 = plt.subplot(1, 2, 2)\n",
    "axes2.plot(linear.coef_)\n",
    "axes2.set_title('linear coefs')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a861c3a-9992-48a9-9c25-8f6754987aea",
   "metadata": {},
   "source": [
    "这样画图看不太出来差距，我把它们画在一起"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "63120fa8-8d73-497d-b389-26cc7ac6271a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(coefs)\n",
    "plt.plot(linear.coef_)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4135a76a-f8a0-4b92-aeb4-8dcfa47ec21f",
   "metadata": {},
   "source": [
    "结论：拟合的非常差，模型效果不佳"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "f2735641-a66a-482f-9c1a-e92c826a95fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "linear.score(X, y)  # 但模型的R^2分数居然到了最高的1，此时R^2无法正确的评估模型"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91f54d17-fd8b-4401-ac93-c219bd20caaa",
   "metadata": {},
   "source": [
    "上面这个图，因为coefficient是随机的，所以很混乱，肉眼不好分辨\n",
    "\n",
    "可以对coefs做个整理，200个系数，把随机把其中的190个变成0，剩下10个是非0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "337198d7-008e-48aa-bb08-a9ded19f2480",
   "metadata": {},
   "outputs": [],
   "source": [
    "index = np.arange(200)\n",
    "np.random.shuffle(index)\n",
    "\n",
    "coefs[index[:190]] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "18abb6fd-99ab-4074-87f7-3131f89cde51",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(coefs)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "e91efb54-680b-4b37-b596-7c632cbac70e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 重新生成 y\n",
    "y = np.dot(X, coefs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "a7ea2ef9-3368-4b9b-b046-12e4796edeed",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 再用三个模型拟合一下\n",
    "linear = LinearRegression()\n",
    "linear.fit(X, y)\n",
    "linear_score = linear.score(X, y)\n",
    "\n",
    "ridge = Ridge(alpha=0.0001)\n",
    "ridge.fit(X, y)\n",
    "ridge_score = ridge.score(X, y)\n",
    "\n",
    "lasso = Lasso(alpha=0.01, max_iter=6000)\n",
    "lasso.fit(X, y)\n",
    "lasso_score = lasso.score(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "cc051ab6-450b-41a2-8f32-f9d181f13a98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画个图，把三个模型拟合出的参数画出来对比一下\n",
    "plt.figure(figsize=(2*6, 4*2))\n",
    "\n",
    "axes1 = plt.subplot(2, 2, 1)\n",
    "axes1.plot(coefs)\n",
    "axes1.set_title('origin coefs')\n",
    "\n",
    "axes2 = plt.subplot(2, 2, 2)\n",
    "axes2.plot(linear.coef_, c='r')\n",
    "axes2.set_title('linear coefs' + ' ' + str(linear_score))\n",
    "\n",
    "axes3 = plt.subplot(2, 2, 3)\n",
    "axes3.plot(lasso.coef_, c='b')\n",
    "axes3.set_title('lasso coefs' + ' ' + str(lasso_score))\n",
    "\n",
    "axes4 = plt.subplot(2, 2, 4)\n",
    "axes4.plot(ridge.coef_, c='k')\n",
    "axes4.set_title('ridge coefs' + ' ' + str(ridge_score))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08ecaeca-865c-48d4-b2b7-305e058f5fc8",
   "metadata": {},
   "source": [
    "单独画出真实的coefficient和Lasso回归的coefficient，探讨一下alpha对模型效果的影响。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "61833680-0a91-4d23-abbb-6e4b2e2828d3",
   "metadata": {},
   "outputs": [],
   "source": [
    "lasso = Lasso(alpha=0.0001, max_iter=6000)\n",
    "lasso.fit(X, y)\n",
    "lasso_score = lasso.score(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "3d21bf59-7f82-468f-9025-922c3af63de9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(coefs)\n",
    "plt.plot(lasso.coef_)\n",
    "plt.title('alpha=0.0001 lasso'+' '+str(lasso_score))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "31b20a24-be2d-4f00-bd35-8f00e409f2b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "lasso = Lasso(alpha=0.01, max_iter=6000)\n",
    "lasso.fit(X, y)\n",
    "lasso_score = lasso.score(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "ff454bae-8575-414b-956c-0c376bbdab12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(coefs)\n",
    "plt.plot(lasso.coef_)\n",
    "plt.title('alpha=0.01 lasso'+' '+str(lasso_score))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "015f9637-5e9c-4783-8935-748fa217af0e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
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